Kostant modules in blocks of category ${\mathcal O}_S$
| dc.creator | Boe, Brian D. | |
| dc.creator | Hunziker, Markus | |
| dc.date | 2006-04-14 | |
| dc.date | 2006-12-22 | |
| dc.date.accessioned | 2026-07-07T07:36:49Z | |
| dc.date.available | 2026-07-07T07:36:49Z | |
| dc.description | In this paper the authors investigate infinite-dimensional representations $L$ in blocks of the relative (parabolic) category ${\mathcal O}_S$ for a complex simple Lie algebra, having the property that the cohomology of the nilradical with coefficients in $L$ ``looks like'' the cohomology with coefficients in a finite-dimensional module, as in Kostant's theorem. A complete classification of these ``Kostant modules'' in regular blocks for maximal parabolics in the simply laced types is given. A complete classification is also given in arbitrary (singular) blocks for Hermitian symmetric categories. | |
| dc.description | 25 pages, 2 tables, 6 figures, uses PSTricks; v.2: added Secs. 4 (BGG resolutions) and 7.5 (Minimal free resolutions), expanded Introduction | |
| dc.identifier | https://arxiv.org/abs/math/0604336 | |
| dc.identifier | http://arxiv.org/abs/math/0604336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120559 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B10 | |
| dc.title | Kostant modules in blocks of category ${\mathcal O}_S$ | |
| dc.type | text |